Super-energy tensor for spacetimes with vanishing scalar curvature

  title={Super-energy tensor for spacetimes with vanishing scalar curvature},
  author={M. Bonilla and Carlos F. Sopuerta},
A four-index tensor is constructed with terms both quadratic in the Riemann tensor and linear in its second derivatives, which has zero divergence for space–times with vanishing scalar curvature. This tensor reduces in vacuum to the Bel–Robinson tensor. Furthermore, the completely timelike component referred to any observer is positive, and zero if and only if the space–time is flat (excluding some unphysical space–times). We also show that this tensor is the unique one that can be constructed… CONTINUE READING


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